The one-sided ergodic Hilbert transform in Banach spaces
نویسندگان
چکیده
منابع مشابه
On the convergence of the rotated one-sided ergodic Hilbert transform
Sufficient conditions have been given for the convergence in norm and a.e. of the ergodic Hilbert transform ([11], [5], [6]). Here we apply these conditions to the rotated ergodic Hilbert transform ∑ ∞ n=1 λ n n T f , where λ is a complex number of modulus 1. When T is a contraction in a Hilbert space, we show that the logarithmic Hausdorff dimension of the set of λ’s for which this series does...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2010
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm196-3-3